Thursday, September 16, 2010

9/16 - Difference Quotient

d55.gif

This is the difference quotient. An example of how to use the equation is as follows:
f(x) = 2x - 1
Plug it into the difference quotient:

And solve simplify:

 

 

Other notes:
REMEMBER: the Domain is the set of possible inputs. The Range is the set of possible outputs.

Consider the equation  function f(x)=2x-5
  • The Domain on this equation function is (-∞,∞), because you can plug any number into the equation to yield a useable result that makes sense with the graph.
Now consider the equation function
  • The domain for this equation function is (-∞,3)U(3,∞). The graph cannot touch three, because the denominator cannot equal zero.
Lastly, lets look at the equation function
  • This equation function has a domain of [5,∞). the input has to be greater than or equal to five because you cannot take the square root of a negative number.

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